# On the structure of flat chains modulo p

@article{Marchese2016OnTS, title={On the structure of flat chains modulo p}, author={A. Marchese and Salvatore Stuvard}, journal={Advances in Calculus of Variations}, year={2016}, volume={11}, pages={309 - 323} }

Abstract In this paper, we prove that every equivalence class in the quotient group of integral 1-currents modulo p in Euclidean space contains an integral current, with quantitative estimates on its mass and the mass of its boundary. Moreover, we show that the validity of this statement for m-dimensional integral currents modulo p implies that the family of ( m - 1 ) {(m-1)} -dimensional flat chains of the form pT, with T a flat chain, is closed with respect to the flat norm. In particular, we… Expand

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